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Finding the Fourth Proportional to 470.58, 645.83 and 458.34

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Solution

The fourth proportional to 470.58, 645.83 and 458.34 is: 629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.58 : 645.83 = 458.34 : x
  2. Step 2: Convert to fraction form
    470.58/645.83 = 458.34/x
  3. Step 3: Cross multiply
    470.58x = 645.83 × 458.34
  4. Step 4: Simplify right side
    470.58x = 296,007.43
  5. Step 5: Solve for x
    x = 296,007.43/470.58
  6. Step 6: Final answer
    x = 629.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.